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Informally, an algorithm is a set of explicit instructions used to solve a problem (e.g. Euclid's algorithm for computing the greatest common divisor of two integers). For more specific questions on algorithms, this tag may be used in conjunction with the approximation-algorithms, algorithmic-randomness and algorithmic-topology tags.
6
votes
Algorithm to solve Sokoban-like game on graphs - move chips from one set of vertices to another
Here is a polynomial-time algorithm. I assume that the chips are identical, as in Dima's reformulation and in Sokoban. (Another version would be that the chip from Init$_i$ has to go to Final$_i$, for …
1
vote
Algorithm to solve Sokoban-like game on graphs - move chips from one set of vertices to another
The better analogy when the markers are distinct is not Sokoban, but the 15-puzzle. It is even on an undirected graph.
All my remarks below are about the undirected version. ADDITION: At the end ther …
2
votes
Complexity of a weirdo two-dimensional sorting problem
(Fast practical algorithms and fast approximation algorithms are mentioned in the references of these papers and the software.) …